In infinite populations, equilibria under these games are limited to three scenarios [1]}, [2]}, [3]}, [4]}. They either have one pure evolutionarily stable state (\(ESS\) ), one inner \(ESS\) , or two pure \(ESS\) . These are respectively named games of dominance, anti-coordination, and coordination, and they relate to distinct invasion scenarios in finite populations [5]}. The correspondence between these games and the ordering of their payoffs is set in the first two columns of table . For each pair of dominance games on the table, the first ordering corresponds to having mutant \(A\)  invading \(B\) , while the second corresponds to \(B\)  invading \(A\) . All other pairs of complementary game orderings did not follow any particular order.
